Can you, using each of the 12 notes of the chromatic scale only once, represent the following 6 intervals: minor second, major second, minor third, major third, fourth, and augmented 4th.
I was trying to figure this out today, and I don't think it can be done. I couldn't figure out anyway to apply math to the problem, but maybe someone here can.
I posted the idea in this thread because I am trying to find interesting ways to come up with a tone row for writing something atonal. (the idea is to use all 12 notes before repeating any of them.) If anyone has any suggestions for how to do this I would love to hear those as well.